Find A, given that a = 18.2, B=62°, and C= 48°. Round to the nearest whole degree.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

If we are given angles B and C, then all we have to do is add them together and then subtract that from 180 since all the angles of a triangle have to add up to equal 180.

62 + 48 = 110

180 - 110 = 70

Angle A = 70°

C. $9x^(3)+11 x^(2) +3x-33$

Step-by-step explanation:

A polynomial is prime if it can't be factored in polynomials of lower degree. Let's factorize:

A. $7x^(2) -35x+2x-10$

In this case we have 4 terms, so we can use Grouping:

Part a:

$7x^(2) -35x$

We're going to use Greatest common factor:

$=7x^(2) -7.5x\n=7x(x-5)$

Part b:

$2x-10$

In this part we also use greatest common factor:

$2x-10=2x-2.5\n=2(x-5)$

Then,

$7x^(2) -35x+2x-10=\n 7x(x-5)+2(x-5)=\n =(7x+2)(x-5)$

This polynomial is not prime.

B. $9x^3 + 11x^2 + 3x-33$

This polynomial cannot be factorized then it's prime.

C. $10x^3-15x^2 + 8x-12$

In this polynomial we can use grouping too:

Part a:

$10x^3 -15x^2=2.5x^3-3.5x^2\n=5x^2(2x-3)$

Part b:

$8x-12=4.2x-4.3\n=4(2x-3)$

Then,

$10x^3-15x^2 + 8x-12=\n=5x^2(2x-3)+4(2x-3)\n=(5x^2+4)(2x-3)$

This polynomial isn't prime.

D. $12x^4 + 42x^2 + 4x^2 + 14$

First we're going to use Greatest common factor:

$12x^4 + 42x^2 + 4x^2 + 14=\n2.6x^4+2.21x^2+2.2x^2+2.7=2(6x^4+21x^2+2x^2+7)$

Now we're going to apply grouping on the terms inside of the parenthesis:

$6x^4+21x^2+2x^2+7$

Part a:

$6x^4+2x^2=2.3x^4+2x^2=2x^2(3x^2+1)$

Part b:

$21x^2+7=7.3x^2+7=7(3x^2+1)$

Then,

$6x^4+21x^2+2x^2+7=2x^2(3x^2+1)+7(3x^2+1)\n=(2x^2+7)(3x^2+1)$

Remember that at the beginning we use Greatest common factor:

$12x^4 + 42x^2 + 4x^2 + 14=\n=2.(6x^4+21x^2+2x^2+7)\n=2(2x^2+7)(3x^2+1)$

This polynomial isn't prime.

Answer:

B not C 9x^3 + 11x^2 + 3x - 33

Step-by-step explanation:

Find the perimeter of thepolygon if ZB = ZD.
11.5 cm
B
D
12.5 cm
13.5 cm

Answers

Answer:

100cm

Step-by-step explanation:

From the given diagram;

Perimeter of the polygon = AB + BC+ CD + DA

Perimeter of the polygon = 11.5 + 12.5 + 12.5 + 13.5 + 13.5 + 12.5 + 12.5 + 11.5

Perimeter of the polygon = 24 + 26 + 26 + 24

Perimeter of the polygon = 50 + 50

Perimeter of the polygon = 100cm

Hence the Perimeter of the polygon is 100cm

Answer:

100 cm

Step-by-step explanation:

chong earns an annual salary of 29,500. how much is his biweekly paycheck? $1,134.62 $1,135.62 $1,234.62 none of the above

Answers

To figure this out, divide the annual salary by the months in a year.
29,500/12=2458.33
Now divide that by half of the amount of weeks in month
2458.33/1.5=1638.88
So the answer is none of the above.

what is the rate of change for the linear relationship modeled in the table? x y −1 10 1 9 3 8 5 7 -1/2 0 1/2 2

Answers

Answer:

Rate of change for the linear relationship modeled is $(-1)/(2)$

Step-by-step explanation:

As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.

We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

$m=(y_2-y_1)/(x_2-x_1)$